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Simplifying 103.5 = x + ((x * 0.03) + 0.5) Reorder the terms for easier multiplication: 103.5 = x + ((0.03x) + 0.5) Reorder the terms: 103.5 = x + (0.5 + (0.03x)) Remove parenthesis around (0.5 + (0.03x)) 103.5 = x + 0.5 + (0.03x) Reorder the terms: 103.5 = 0.5 + x + (0.03x) Combine like terms: x + (0.03x) = 1.03x 103.5 = 0.5 + 1.03x Solving 103.5 = 0.5 + 1.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.03x' to each side of the equation. 103.5 + -1.03x = 0.5 + 1.03x + -1.03x Combine like terms: 1.03x + -1.03x = 0.00 103.5 + -1.03x = 0.5 + 0.00 103.5 + -1.03x = 0.5 Add '-103.5' to each side of the equation. 103.5 + -103.5 + -1.03x = 0.5 + -103.5 Combine like terms: 103.5 + -103.5 = 0.0 0.0 + -1.03x = 0.5 + -103.5 -1.03x = 0.5 + -103.5 Combine like terms: 0.5 + -103.5 = -103 -1.03x = -103 Divide each side by '-1.03'. x = 100 Simplifying x = 100
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